@article{Yang2024, 
author = {Heng Yang and Jiang Zhou},
title = {Compactness of commutators of fractional integral operators on ball Banach function spaces},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {2},
pages = {3126-3149},
keywords = {ball Banach function space, fractional integral operator, commutator, compactness},
url = {https://www.sciopen.com/article/10.3934/math.2024152},
doi = {10.3934/math.2024152},
abstract = {Let    0  <  α  <  n and    b be a locally integrable function. In this paper, we obtain the characterization of compactness of the iterated commutator    (      T          Ω      ,      α            )          b              m       generated by the function    b and the fractional integral operator with the homogeneous kernel        T          Ω      ,      α       on ball Banach function spaces. As applications, we derive the characterization of compactness via the commutator    (      T          Ω      ,      α            )    b    m   on weighted Lebesgue spaces, and further obtain a necessary and sufficient condition for the compactness of the iterated commutator    (      T          α            )          b              m       generated by the function    b and the fractional integral operator        T    α   on Morrey spaces. Moreover, we also show the necessary and sufficient condition for the compactness of the commutator    [  b  ,      T          α        ] generated by the function    b and the fractional integral operator        T    α   on variable Lebesgue spaces and mixed Morrey spaces.}
}